Question

The total cost $C_{\left(x\right)}$ and the total revenue $R_{\left(x\right)}$ associated with production and sale of $x$ units of an item are given by $C\left(x\right)=0.1x^2+30x+1000$ and $R\left(x\right)=0.2x^2+36x-100$ . Find the marginal cost and the marginal revenue when $x=20$

Answer 1

$C\left(x\right)=0.1x^2+30x+1000$

Marginal Cost $=0.2x+30$ when $x=20$

$4+30=34$

$R\left(x\right)=0.2x^2+36x-100$

Marginal revenue $=0.2\times 2x+36$ when $x=20$

$36+8=44$